This results in a book for each of the tennis matches of The decimal odds of a multiple bet is often calculated by multiplying the decimal odds of the individual bets, the idea being that if the events are independent then the implied probability should be the product of the implied probabilities of the individual bets. This represents an implied probability of Thus the overround has slightly more than doubled by combining two single bets into a double.
This is why bookmakers offer bets such as Lucky 15 , Lucky 31 and Lucky 63 ; offering double the odds for one winner and increasing percentage bonuses for two, three and more winners. In general, for any accumulator bet from two to i selections, the combined percentage overround of books of B 1 , B 2 , In settling winning bets either decimal odds are used or one is added to the fractional odds: this is to include the stake in the return. The place part of each-way bets is calculated separately from the win part; the method is identical but the odds are reduced by whatever the place factor is for the particular event see Accumulator below for detailed example.
All bets are taken as 'win' bets unless 'each-way' is specifically stated. Non-runners are treated as winners with fractional odds of zero decimal odds of 1. Fractions of pence in total winnings are invariably rounded down by bookmakers to the nearest penny below. Calculations below for multiple-bet wagers result in totals being shown for the separate categories e.
Each-Way multiple bets are usually settled using a default " Win to Win, Place to Place " method, meaning that the bet consists of a win accumulator and a separate place accumulator Note: a double or treble is an accumulator with 2 or 3 selections respectively. However, a more uncommon way of settling these type of bets is " Each-Way all Each-Way " known as " Equally Divided ", which must normally be requested as such on the betting slip in which the returns from one selection in the accumulator are split to form an equal-stake each-way bet on the next selection and so on until all selections have been used.
Double  . Note: " Win to Win, Place to Place " will always provide a greater return if all selections win, whereas " Each-Way all Each-Way " provides greater compensation if one selection is a loser as each of the other winners provide a greater amount of place money for subsequent selections. Treble  . Accumulator  . Note: 'All up to win' means there are insufficient participants in the event for place odds to be given e.
The only 'place' therefore is first place, for which the win odds are given. Trixie , Yankee , Canadian , Heinz , Super Heinz and Goliath form a family of bets known as full cover bets which have all possible multiples present. Examples of winning Trixie and Yankee bets have been shown above. The other named bets are calculated in a similar way by looking at all the possible combinations of selections in their multiples.
Note: A Double may be thought of as a full cover bet with only two selections. Should a selection in one of these bets not win, then the remaining winners are treated as being a wholly successful bet on the next 'family member' down. For example, only two winners out of three in a Trixie means the bet is settled as a double; only four winners out of five in a Canadian means it is settled as a Yankee ; only five winners out of eight in a Goliath means it is settled as a Canadian.
The place part of each-way bets is calculated separately using reduced place odds. Thus, an each-way Super Heinz on seven horses with three winners and a further two placed horses is settled as a win Trixie and a place Canadian. Virtually all bookmakers use computer software for ease, speed and accuracy of calculation for the settling of multiples bets. Patent , Lucky 15 , Lucky 31 , Lucky 63 and higher Lucky bets form a family of bets known as full cover bets with singles which have all possible multiples present together with single bets on all selections.
An examples of a winning Patent bet has been shown above. The other named bets are calculated in a similar way by looking at all the possible combinations of selections in their multiples and singles. For example, only two winners out of three in a Patent means the bet is settled as a double and two singles; only three winners out of four in a Lucky 15 means it is settled as a Patent ; only four winners out of six in a Lucky 63 means it is settled as a Lucky Thus, an each-way Lucky 63 on six horses with three winners and a further two placed horses is settled as a win Patent and a place Lucky The overall 'odds multiplier' is a combined decimal odds value and is the result of all the individual bets that make up a full cover bet, including singles if needed.
This is equivalent to the OM for a Patent treble: abc ; doubles: ab , ac and bc ; singles: a , b and c plus 1. Now multiply by the unit stake to get the total return on the bet. The winning Patent described earlier can be more quickly and simply evaluated by the following:. For the family of full cover bets that do not include singles an adjustment to the calculation is made to leave just the doubles, trebles and accumulators.
In effect, the bet has been calculated as a Lucky 15 minus the singles. In the days before software became available for use by bookmakers and those settling bets in Licensed Betting Offices LBOs this method was virtually de rigueur for saving time and avoiding the multiple repetitious calculations necessary in settling bets of the full cover type. A Round Robin with 3 winners is calculated as a Trixie plus three Up and Down bets with 2 winners in each.
A Round Robin with 2 winners is calculated as a double plus one Up and Down bet with 2 winners plus two Up and Down bets with 1 winner in each. Flag and Super Flag bets may be calculated in a similar manner as above using the appropriate full cover bet if sufficient winners together with the required number of 2 winner- and 1 winner Up and Down bets.
Note: Expert bet settlers before the introduction of bet-settling software would have invariably used an algebraic-type method together with a simple calculator to determine the return on a bet see below. From Wikipedia, the free encyclopedia. Here is the line-up we Chelsea will be looking to close-in on the top four with a win when they take on Sheffield United at Bramall Tottenham will be looking to end a run of three consecutive defeats when they take on West Brom at the New Here is the team we expect Thomas Tuchel to select Manchester United take on Everton at Old Trafford this evening looking for a win to keep pace with Manchester City at Find new betting sites in the UK and what signup bonuses they offer.
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The best online casino nz will help you finding the perfect spot for your Kiwi gambling adventure. Connect with us. Liverpool year-old star undergoing medical with Liverpool after Reds agree deal. Premier League More Premier League. By Fraser Crawford. By Georgia Wickes. Transfers More Transfers. By Gooner Mac. Features More Features. This is a minor difference if the probability is small close to zero, or "long odds" , but is a major difference if the probability is large close to one.
These transforms have certain special geometric properties: the conversions between odds for and odds against resp. They are thus specified by three points sharply 3-transitive. Swapping odds for and odds against swaps 0 and infinity, fixing 1, while swapping probability of success with probability of failure swaps 0 and 1, fixing. Converting odds to probability fixes 0, sends infinity to 1, and sends 1 to. In probability theory and statistics, odds and similar ratios may be more natural or more convenient than probabilities.
In some cases the log-odds are used, which is the logit of the probability. Most simply, odds are frequently multiplied or divided, and log converts multiplication to addition and division to subtractions. This is particularly important in the logistic model , in which the log-odds of the target variable are a linear combination of the observed variables.
Similar ratios are used elsewhere in statistics; of central importance is the likelihood ratio in likelihoodist statistics , which is used in Bayesian statistics as the Bayes factor. Odds are particularly useful in problems of sequential decision making, as for instance in problems of how to stop online on a last specific event which is solved by the odds algorithm.
The odds are a ratio of probabilities; an odds ratio is a ratio of odds, that is, a ratio of ratios of probabilities. Odds-ratios are often used in analysis of clinical trials. Answer: The odds in favour of a blue marble are One can equivalently say, that the odds are against. There are 2 out of 15 chances in favour of blue, 13 out of 15 against blue. That value may be regarded as the relative probability the event will happen, expressed as a fraction if it is less than 1 , or a multiple if it is equal to or greater than one of the likelihood that the event will not happen.
In the first example at top, saying the odds of a Sunday are "one to six" or, less commonly, "one-sixth" means the probability of picking a Sunday randomly is one-sixth the probability of not picking a Sunday. While the mathematical probability of an event has a value in the range from zero to one, "the odds" in favor of that same event lie between zero and infinity.
It is 6 times as likely that a random day is not a Sunday. The use of odds in gambling facilitates betting on events where the relative probabilities of outcomes varied. For example, on a coin toss or a match race between two evenly matched horses, it is reasonable for two people to wager level stakes.
However, in more variable situations, such as a multi-runner horse race or a football match between two unequally matched sides, betting "at odds" provides a perspective on the relative likelihoods of the possible outcomes. In the modern era, most fixed odds betting takes place between a betting organisation, such as a bookmaker , and an individual, rather than between individuals.
Different traditions have grown up in how to express odds to customers, older eras came with betting odds between people, today which is illegal in most countries, it was referred as "odding", an underground slang word with origins based in the Bronx. Favoured by bookmakers in the United Kingdom and Ireland , and also common in horse racing , fractional odds quote the net total that will be paid out to the bettor, should he or she win, relative to the stake.
However, not all fractional odds are traditionally read using the lowest common denominator. Fractional odds are also known as British odds, UK odds,  or, in that country, traditional odds. Odds with a denominator of 1 are often presented in listings as the numerator only. A variation of fractional odds is known as Hong Kong odds. Fractional and Hong Kong odds are actually exchangeable. The only difference is that the UK odds are presented as a fractional notation e.
Both exhibit the net return. The European odds also represent the potential winnings net returns , but in addition they factor in the stake e. Favoured in continental Europe , Australia , New Zealand , Canada , and Singapore , decimal odds quote the ratio of the payout amount, including the original stake, to the stake itself. Therefore, the decimal odds of an outcome are equivalent to the decimal value of the fractional odds plus one.
This is considered to be ideal for parlay betting, because the odds to be paid out are simply the product of the odds for each outcome wagered on. When looking at decimal odds in betting terms, the underdog has the higher of the two decimals, while the favorite has the lower of the two. Decimal odds are favoured by betting exchanges because they are the easiest to work with for trading, as they reflect the inverse of the probability of an outcome. Decimal odds are also known as European odds , digital odds or continental odds.
Moneyline odds are favoured by American bookmakers. The figure quoted is either positive or negative. Moneyline odds are often referred to as American odds. A "moneyline" wager refers to odds on the straight-up outcome of a game with no consideration to a point spread. In most cases, the favorite will have negative moneyline odds less payoff for a safer bet and the underdog will have positive moneyline odds more payoff for a risky bet.
However, if the teams are evenly matched, both teams can have a negative line at the same time e. In gambling, the odds on display do not represent the true chances as imagined by the bookmaker that the event will or will not occur, but are the amount that the bookmaker will pay out on a winning bet, together with the required stake. In formulating the odds to display the bookmaker will have included a profit margin which effectively means that the payout to a successful bettor is less than that represented by the true chance of the event occurring.
This profit is known as the 'over-round' on the 'book' the 'book' refers to the old-fashioned ledger in which wagers were recorded, and is the derivation of the term 'bookmaker' and relates to the sum of the 'odds' in the following way:. The true odds against winning for each of the three horses are , and respectively.
This represents the odds against each, which are , and , in order. This value of 30 represents the amount of profit for the bookmaker if he gets bets in good proportions on each of the horses. And the expected value of his profit is positive even if everybody bets on the same horse. The art of bookmaking is in setting the odds low enough so as to have a positive expected value of profit while keeping the odds high enough to attract customers, and at the same time attracting enough bets for each outcome to reduce his risk exposure.
A study on soccer betting found that the probability for the home team to win was generally about 3. It was about 3. Making a profit in gambling involves predicting the relationship of the true probabilities to the payout odds. Sports information services are often used by professional and semi-professional sports bettors to help achieve this goal.
The odds or amounts the bookmaker will pay are determined by the total amount that has been bet on all of the possible events. They reflect the balance of wagers on either side of the event, and include the deduction of a bookmaker's brokerage fee "vig" or vigorish. From Wikipedia, the free encyclopedia.
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